Atlas Paclet Symbol

RicciScalar - calculation of Ricci scalar

RicciScalar[id]
allows one to calculate the Ricci scalar.

MORE INFORMATION

id - variable - corresponding identifier

The procedure is only available if the metric tensor is definite (see Metric) and the Ricci tensor has been calculated.

Declare forms:

Declare vectors:

Declare constant :

Declare coframe:

Declare frame:

Declare metric on S³ (see Metric):

In[8]:=

Out[8]=

Connection calculation:

In[9]:=

Out[9]=

Curvature calculation:

In[10]:=

Out[10]=

Ricci tensor calculation:

In[11]:=

Out[11]=

Ricci scalar calculation:

Declare forms:

Declare vectors:

Declare coframe:

Declare frame:

Connection definition:

Connection declaration:

In[10]:=

Out[10]=

In[11]:=

Out[11]//MatrixForm=

Curvature calculation:

In[12]:=

Out[12]=

In[13]:=

Out[13]//MatrixForm=

In[14]:=

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RicciScalar - calculation of Ricci scalar

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